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7Y and I first discussed how to find the numbers in the next shack so we tried to spot any patterns. We quickly realised that the roof and floor numbers of the shack before became the middle numbers in the next shack and most of us spotted that the roof was the difference of these numbers and the floor was the sum of these numbers. After this we began to draw a few more shacks out to see if we could spot a long term pattern. Ed noticed that the middle left number of the shack before could be doubled to find the roof of the next and also the middle right number of the shack before could be doubled to find the floor of the next. This pattern worked for all so we accepted it as being true. But this did not help us much when we tried to predict what the 100th shack would look like. However Mackenzie spotted that the odd term shacks followed a pattern and the even term shacks also followed a pattern. For example, if you knew the fifth term shack then you could easily find the seventh shack by doubling all of the numbers in the fifth. This also worked for the even term shacks e.g. tenth shack is double the eighth. Therefore in order to find the 100th term (even number) we needed to double the numbers in the second shack 50 times. This pattern worked for all the starting shacks we tried so we accepted it as being true for all. After this we considered going in the opposite direction (to the right) and quickly deduced that we just needed to reverse the operation (divide each number by two) instead. Safe to say 7Y and I loved Number Shacks!